## Dictionary: LOG – LOG'-REEL

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LOG, v.i.

To move to and fro. [Not used.] – Polwhele.

LOG'A-RITHM, n. [Fr. logarithme; Gr. λογος, ratio, and αριθμος, number.]

Logarithms are the exponents of a series of powers and roots. – Day. The logarithm of a number is that exponent of some other number, which renders the power of the latter, denoted by the exponent, equal to the former. – Cyc. When the logarithms form a series in arithmetical progression, the corresponding natural numbers form a series in geometrical progression. Thus, Logarithms, 0 1 2 3 4 5 Natural numbers, 1 10 100 1000 10000 100000 The addition and subtraction of logarithms answer to the multiplication and division of their natural numbers. In like manner, involution is performed by multiplying the logarithm of any number by the number denoting the required power; and evolution, by dividing the logarithm by the number denoting the required root. Logarithms are the invention of Baron Napier, lord of Marchiston in Scotland; but the kind now in use, were invented by Henry Brigs, professor of geometry in Gresham college, at Oxford. They are extremely useful in abridging the labor of trigonometrical calculations.

LOG-A-RITH-MET'IC, or LOG-A-RITH-ME'TIC-AL, a. [or LOG-A-RITH'MIC.]

Pertaining to logarithms; consisting of logarithms. – Encyc. Lavoisier.

LOG'-BOARD, n.

In navigation, two boards, shutting like a hook, and divided into columns, containing the hours of the day and night, direction of the wind, course of the ship, &c., from which is formed the log-book. – Mar. Dict.

LOG'-BOOK, n.

A book into which are transcribed the contents of the log-book. – Mar. Dict.

LOG'GATS, n.

The name of a play or game, the same as is now called kittle-kins. It was prohibited by Stat. 33 Henry VIII. [Not in use.] – Hanmer.

1. A blockhead; a dunce; a dolt; a thick-skull. – Shak.
2. A spherical mass of iron, with a long handle; used to heat tar. – Mar. Dict.
3. A species of marine turtle. To fall to loggerheads, or To go to loggerheads; to come to blows; to fall to fighting without weapons. – L'Estrange.

Dull; stupid; doltish. – Shak.

LOG'-HEAP, n.

A pile of logs for tarring in clearing land.

A house or hut whose walls are composed of logs laid on each other.

LOG'IC, n. [Fr. logique; It. logica; L. id.; from the Gr. λογικη, from λογος, reason, λεγω, to speak.]

The art of thinking and reasoning justly. Logic is the art of using reason well in our inquiries after truth, and the communication of it to others. – Watts. Logic may be defined, the science or history of the human mind, as it traces the progress of our knowledge from our first conceptions through their different combinations, and the numerous deductions that result from comparing them with one another. Encyc. Correct reasoning implies correct thinking and legitimate inferences from premises, which are principles assumed or admitted to be just. Logic then includes the art of thinking, as well as the art of reasoning. – N. W. The purpose of logic is to direct the intellectual powers in the investigation of truth, and in the communication of it to others. – Hedge.

LOG'IC-AL, a.

1. Pertaining to logic; used in logic; as, logical subtilties. – Hooker.
2. According to the rules of logic; as, a logical argument or inference. This reasoning is strictly logical.
3. Skilled in logic; versed in the art of thinking and reasoning; discriminating; as, a logical head. – Spectator.

According to the rules of logic; as, to argue logically.

LO-GI'CIAN, n.

A person skilled in logic, or the art of reasoning. Each fierce logician still expelling Locke. – Pope.

LOG'ICS, n.

Equivalent to logic. – Best.

LO-GIS'TIC, a.

Relating to sexagesimal fractions. – Cyc.

LOG'-LINE, n.

A line or cord about a hundred and fifty fathoms in length, fastened to the log by means of two legs. This is wound on a reel, called the log-reel. – Encyc. Mar. Dict.

LOG'MAN, n.

1. A man who carries logs.
2. One whose occupation is to cut and convey logs to a mill. [Local.] – United States.

Pertaining to logography.

LO-GOG'RA-PHY, n. [Gr. λογος, a word, and γραφη, a writing.]

A method of printing, in which a type represents a word, instead of forming a letter. – Encyc.

LOG'O-GRIPH, n. [Gr. λογος and γριφος.]

A sort of riddle. [Obs.] – B. Jonson.

LO-GOM'A-CHIST, n.

One who contends about words. – E. T. Pitch.

LO-GOM'A-CHY, n. [Gr. λογος, word, and μαχη, contest, altercation.]

Contention in words merely, or rather a contention about words; a war of words. – Howell.

LOG-O-MET'RIC, a. [Gr. λογος, ratio, and μετρεω, to measure.]

A logometric scale is intended to measure or ascertain chimical equivalents. – Wollaston.

LOG'-REEL, n.

A reel in the gallery of a ship, on which the log-line is wound. – Encyc. Mar. Dict.